English

Contact 3-manifolds and Ricci solitons

Differential Geometry 2012-02-28 v1

Abstract

A contact 3-manifold MM admitting a transversal Ricci soliton (g,v,λ)(g,v,\lambda) is either Sasakian or locally isometric to one of the Lie groups SU(2), SL(2,R)SL(2,R), E(2), E(1,1) with a left invariant metric.

Keywords

Cite

@article{arxiv.1202.5835,
  title  = {Contact 3-manifolds and Ricci solitons},
  author = {Jong Taek Cho},
  journal= {arXiv preprint arXiv:1202.5835},
  year   = {2012}
}